code: def test_generate_gate_rules_1():
      # Test with tuples
      (x, y, z, h) = create_gate_sequence()
      ph = PhaseGate(0)
      cgate_t = CGate(0, TGate(1))
  
      assert generate_gate_rules((x,)) == {((x,), ())}
  
      gate_rules = {((x, x), ()), ((x,), (x,))}
      assert generate_gate_rules((x, x)) == gate_rules
  
      gate_rules = {
          ((x, y, x), ()),
          ((y, x, x), ()),
          ((x, x, y), ()),
          ((y, x), (x,)),
          ((x, y), (x,)),
          ((y,), (x, x)),
      }
      assert generate_gate_rules((x, y, x)) == gate_rules
  
      gate_rules = {
          ((x, y, z), ()),
          ((y, z, x), ()),
          ((z, x, y), ()),
          ((), (x, z, y)),
          ((), (y, x, z)),
          ((), (z, y, x)),
          ((x,), (z, y)),
          ((y, z), (x,)),
          ((y,), (x, z)),
          ((z, x), (y,)),
          ((z,), (y, x)),
          ((x, y), (z,)),
      }
      actual = generate_gate_rules((x, y, z))
      assert actual == gate_rules
  
      gate_rules = {
          ((), (h, z, y, x)),
          ((), (x, h, z, y)),
          ((), (y, x, h, z)),
          ((), (z, y, x, h)),
          ((h,), (z, y, x)),
          ((x,), (h, z, y)),
          ((y,), (x, h, z)),
          ((z,), (y, x, h)),
          ((h, x), (z, y)),
          ((x, y), (h, z)),
          ((y, z), (x, h)),
          ((z, h), (y, x)),
          ((h, x, y), (z,)),
          ((x, y, z), (h,)),
          ((y, z, h), (x,)),
          ((z, h, x), (y,)),
          ((h, x, y, z), ()),
          ((x, y, z, h), ()),
          ((y, z, h, x), ()),
          ((z, h, x, y), ()),
      }
      actual = generate_gate_rules((x, y, z, h))
      assert actual == gate_rules
  
      gate_rules = {
          ((), (cgate_t ** (-1), ph ** (-1), x)),
          ((), (ph ** (-1), x, cgate_t ** (-1))),
          ((), (x, cgate_t ** (-1), ph ** (-1))),
          ((cgate_t,), (ph ** (-1), x)),
          ((ph,), (x, cgate_t ** (-1))),
          ((x,), (cgate_t ** (-1), ph ** (-1))),
          ((cgate_t, x), (ph ** (-1),)),
          ((ph, cgate_t), (x,)),
          ((x, ph), (cgate_t ** (-1),)),
          ((cgate_t, x, ph), ()),
          ((ph, cgate_t, x), ()),
          ((x, ph, cgate_t), ()),
      }
      actual = generate_gate_rules((x, ph, cgate_t))
      assert actual == gate_rules
  
      gate_rules = {
          (Integer(1), cgate_t ** (-1) * ph ** (-1) * x),
          (Integer(1), ph ** (-1) * x * cgate_t ** (-1)),
          (Integer(1), x * cgate_t ** (-1) * ph ** (-1)),
          (cgate_t, ph ** (-1) * x),
          (ph, x * cgate_t ** (-1)),
          (x, cgate_t ** (-1) * ph ** (-1)),
          (cgate_t * x, ph ** (-1)),
          (ph * cgate_t, x),
          (x * ph, cgate_t ** (-1)),
          (cgate_t * x * ph, Integer(1)),
          (ph * cgate_t * x, Integer(1)),
          (x * ph * cgate_t, Integer(1)),
      }
      actual = generate_gate_rules(
          (x, ph, cgate_t), return_as_muls=True
      )
      assert actual == gate_rules
  
file_path: sympy/sympy/physics/quantum/tests/test_identitysearch.py
imports: from sympy.external import import_module
  from sympy.core.mul import Mul
  from sympy.core.numbers import Integer
  from sympy.physics.quantum.dagger import Dagger
  from sympy.physics.quantum.gate import X, Y, Z, H, CNOT, IdentityGate, CGate, PhaseGate, TGate
  from sympy.physics.quantum.identitysearch import generate_gate_rules, generate_equivalent_ids, GateIdentity, bfs_identity_search, is_scalar_sparse_matrix, is_scalar_nonsparse_matrix, is_degenerate, is_reducible
  from sympy.testing.pytest import skip
label_desc: Use image node_id 2 for calling a global function with example usage: test_generate_gate_rules_1() without return types